| version 1.60, 2007/08/09 16:57:34 |
version 1.61, 2007/08/09 17:22:38 |
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| <s>Nam cùm omnes motus qui perpetui <lb/>non &longs;unt, aut habeant motus contrarios, aut priuatione pr&ecedil;cedente &longs;ingulis oppo&longs;itum habeant in <lb/>ea priuatione quietem; </s> | <s>Nam cùm omnes motus qui perpetui <lb/>non &longs;unt, aut habeant motus contrarios, aut priuatione pr&ecedil;cedente &longs;ingulis oppo&longs;itum habeant in <lb/>ea priuatione quietem; </s> |
| <s>loquor autem de toto aliquo motu, non de parte, &longs;i motum cum aliquo conti­<lb/>nuari opus &longs;it, aut cum contrario continuabitur, aut cum quiete: </s> | <s>loquor autem de toto aliquo motu, non de parte, &longs;i motum cum aliquo conti­<lb/>nuari opus &longs;it, aut cum contrario continuabitur, aut cum quiete: </s> |
| <s>at cum contrario continuari nequit. <lb/></s> | <s>at cum contrario continuari nequit. <lb/></s> |
| <s>&longs;ic .n. idem motibus contrariis agitari po&longs;&longs;et: cum quiete verò fieri iam nequit, vt continuetur, & e&longs;to, <lb/>quòd cum quiete continuari po&longs;sit; nhil ad rem no&longs;tram, qui de <expan abbr="motuũ">motuum</expan> continuatione nunc agimus; & certè cum motu qui &longs;pecie di&longs;tinguatur, nullus vnquam motus continuari pote&longs;t; </s> | <s>&longs;ic .n. idem motibus contrariis agitari po&longs;&longs;et: cum quiete verò fieri iam nequit, vt continuetur, & e&longs;to, <lb/>quòd cum quiete continuari po&longs;sit; nihil ad rem no&longs;tram, qui de <expan abbr="motuũ">motuum</expan> continuatione nunc agimus; <lb/> & certè cum motu qui &longs;pecie di&longs;tinguatur, nullus vnquam motus continuari pote&longs;t; </s> |
| <s>&longs;ed solùm e&longs;&longs;e <expan abbr="cõtiguus">con<lb/>tiguus</expan>, vt aliàs demon&longs;trauimus. </s> | <s>&longs;ed solùm e&longs;&longs;e <expan abbr="cõtiguus">con<lb/>tiguus</expan>, vt aliàs demon&longs;trauimus. </s> |
| <s>Prætereà in omni mutatione ami&longs;sio termini à quo eadem e&longs;t &longs;ubie<arrow.to.target n="marg4937a"></arrow.to.target><lb/>cto cum acqui&longs;itione termini ad quem: &longs;imul .n. fit album, & interit nigrum. </s> | <s>Prætereà in omni mutatione ami&longs;sio termini à quo eadem e&longs;t &longs;ubie<arrow.to.target n="marg4937a"></arrow.to.target><lb/>cto cum acqui&longs;itione termini ad quem: &longs;imul .n. fit album, & interit nigrum. </s> |
| <s>Si fatigaris igitur albefa­<lb/>ctionem cum oppo&longs;ita nigrefactione continuari, ex albo fieret non album: idem ergo proce&longs;&longs;us tem­<lb/>poris e&longs;&longs;et, quo corrumperetur non album; fieret album; ac &longs;imul fieret non album: </s> | <s>Si fatigaris igitur albefa­<lb/>ctionem cum oppo&longs;ita nigrefactione continuari, ex albo fieret non album: idem ergo proce&longs;&longs;us tem­<lb/>poris e&longs;&longs;et, quo corrumperetur non album; fieret album; ac &longs;imul fieret non album: </s> |
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| <s>quandoquidem non <expan abbr="oĩs">omnis</expan> motus, qui e&longs;t <lb/>ab <expan abbr="eod&etilde;">eodem</expan> in idem &longs;peciem habet repugnanti&ecedil;, &longs;ed inter illa puncta &longs;olùm, quæ &longs;e habent tanquàm termi<lb/>ni diametri in circulo: ab vnis .n. hi&longs;ce <expan abbr="petit'">petitur</expan> ratio repugnantiæ & interualli: c&ecedil;terùm hæ e&longs;t oppo&longs;ito <lb/><expan abbr="&longs;ecũdùm">&longs;ecundùm</expan> rectum, non <expan abbr="aut&etilde;">autem</expan> &longs;ecundùm circulum: </s> | <s>quandoquidem non <expan abbr="oĩs">omnis</expan> motus, qui e&longs;t <lb/>ab <expan abbr="eod&etilde;">eodem</expan> in idem &longs;peciem habet repugnanti&ecedil;, &longs;ed inter illa puncta &longs;olùm, quæ &longs;e habent tanquàm termi<lb/>ni diametri in circulo: ab vnis .n. hi&longs;ce <expan abbr="petit'">petitur</expan> ratio repugnantiæ & interualli: c&ecedil;terùm hæ e&longs;t oppo&longs;ito <lb/><expan abbr="&longs;ecũdùm">&longs;ecundùm</expan> rectum, non <expan abbr="aut&etilde;">autem</expan> &longs;ecundùm circulum: </s> |
| <s>proinde &longs;i in hoc progre&longs;&longs;u media quies interponitur; <lb/>nil <expan abbr="vtiq.">vtique</expan> vetabit, quin motus ab <expan abbr="eod&etilde;">eodem</expan> in idem &longs;it continuus in circulo. </s> | <s>proinde &longs;i in hoc progre&longs;&longs;u media quies interponitur; <lb/>nil <expan abbr="vtiq.">vtique</expan> vetabit, quin motus ab <expan abbr="eod&etilde;">eodem</expan> in idem &longs;it continuus in circulo. </s> |
| <s>Breuiter aũt hæc ratio complexa <arrow.to.target n="marg4937d"></arrow.to.target><lb/>e&longs;t illa <expan abbr="oĩa">omnia</expan> quæ pluribus di&longs;putata &longs;unt 1. de C&ecedil;lo, quà conclu&longs;um e&longs;t conuer&longs;ioni nihil e&longs;&longs;e <expan abbr="contrariũ">contrarium</expan>: <expan abbr="efficiet'">efficietur</expan> <expan abbr="aut&etilde;">autem</expan> à nobis hac methodo, ni&longs;i quid fallimur; </s> | <s>Breuiter aũt hæc ratio complexa <arrow.to.target n="marg4937d"></arrow.to.target><lb/>e&longs;t illa <expan abbr="oĩa">omnia</expan> quæ pluribus di&longs;putata &longs;unt 1. de C&ecedil;lo, quà conclu&longs;um e&longs;t conuer&longs;ioni nihil e&longs;&longs;e <expan abbr="contrariũ">contrarium</expan>: <expan abbr="efficiet'">efficietur</expan> <expan abbr="aut&etilde;">autem</expan> à nobis hac methodo, ni&longs;i quid fallimur; </s> |
| <s>&longs;i doceamus primũm, vndénam &longs;patij repugnan<lb/><figure></figure>tia &longs;umatur; hæc <expan abbr="aut&etilde;">autem</expan> ab eodem fonte emanat, vnde &longs;implicitas motuum de&longs;cendabat; à natura nimi­<lb/>rum &longs;patij quod à mobili peragratur. </s> | <s>&longs;i doceamus primũm, vndénam &longs;patij repugnan<lb/><figure></figure>tia &longs;umatur; hæc <expan abbr="aut&etilde;">autem</expan> ab eodem fonte emanat, vnde &longs;implicitas motuum de&longs;cendebat; à natura nimi­<lb/>rum &longs;patij quod à mobili peragratur. </s> |
| <s>At in &longs;patio duo &longs;pectantur: forma &longs;patij quæ &longs;umitur à natura <lb/>quantitatis; vnde oriuntur <expan abbr="rectũ">rectum</expan> & rotundum: & termini eius, &longs;iue loca quæ duo &longs;unt; vnus, à quo <lb/>di&longs;cedit, & alter ad quem accedit mobile &longs;ecundùm <expan abbr="naturã">naturam</expan>, qui &longs;anè præter alias qualitates quas ha­<lb/>bent &longs;ecum communes, inter quas e&longs;t repugnantia, &longs;ic contrarij &longs;unt; </s> | <s>At in &longs;patio duo &longs;pectantur: forma &longs;patij quæ &longs;umitur à natura <lb/>quantitatis; vnde oriuntur <expan abbr="rectũ">rectum</expan> & rotundum: & termini eius, &longs;iue loca quæ duo &longs;unt; vnus, à quo <lb/>di&longs;cedit, & alter ad quem accedit mobile &longs;ecundùm <expan abbr="naturã">naturam</expan>, qui &longs;anè præter alias qualitates quas ha­<lb/>bent &longs;ecum communes, inter quas e&longs;t repugnantia, &longs;ic contrarij &longs;unt; </s> |
| <s>quoniam &longs;i ad hunc locum terra <lb/>&longs;uapte natura <expan abbr="ferat'">feratur</expan>, ab eo præter <expan abbr="naturã">naturam</expan> di&longs;cedit: & ad alium accedit præter <expan abbr="naturã">naturam</expan> à quo po&longs;teà &longs;ecun<lb/>dùm naturam &longs;eparatur: </s> | <s>quoniam &longs;i ad hunc locum terra <lb/>&longs;uapte natura <expan abbr="ferat'">feratur</expan>, ab eo præter <expan abbr="naturã">naturam</expan> di&longs;cedit: & ad alium accedit præter <expan abbr="naturã">naturam</expan> à quo po&longs;teà &longs;ecun<lb/>dùm naturam &longs;eparatur: </s> |
| <s>ab hoc &longs;ecundùm <expan abbr="naturã">naturam</expan> di&longs;cedet aliud corpus, & huc pr&ecedil; <expan abbr="naturã">naturam</expan> feretur; <lb/>ad alium verò &longs;ecundùm <expan abbr="naturã">naturam</expan> mouebitur, & inde præter <expan abbr="naturã">naturam</expan> ab&longs;trahetur. </s> | <s>ab hoc &longs;ecundùm <expan abbr="naturã">naturam</expan> di&longs;cedet aliud corpus, & huc pr&ecedil; <expan abbr="naturã">naturam</expan> feretur; <lb/>ad alium verò &longs;ecundùm <expan abbr="naturã">naturam</expan> mouebitur, & inde præter <expan abbr="naturã">naturam</expan> ab&longs;trahetur. </s> |
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| <s>quare & idem &longs;ubiecto &longs;pacium e&longs;&longs;e debet, quod à contrariis motibus obitur, &longs;ola ra­<lb/>tione &longs;ecretum, &longs;icut a&longs;cen&longs;us & <expan abbr="de&longs;c&etilde;&longs;us">de&longs;cen&longs;us</expan> in eodem cliuo. </s> | <s>quare & idem &longs;ubiecto &longs;pacium e&longs;&longs;e debet, quod à contrariis motibus obitur, &longs;ola ra­<lb/>tione &longs;ecretum, &longs;icut a&longs;cen&longs;us & <expan abbr="de&longs;c&etilde;&longs;us">de&longs;cen&longs;us</expan> in eodem cliuo. </s> |
| <s>Quamobrem cùm per idem <expan abbr="&longs;paciù">&longs;pacium</expan> inter eo&longs;­<lb/>dem terminos alius motus in circulo fieri nequeat, <expan abbr="&qtilde;">quam</expan> ille qui nunc fit; profectò <expan abbr="neq.">neque</expan> alter conuer&longs;ioni <lb/>reperietur oppo&longs;itus. </s> | <s>Quamobrem cùm per idem <expan abbr="&longs;paciù">&longs;pacium</expan> inter eo&longs;­<lb/>dem terminos alius motus in circulo fieri nequeat, <expan abbr="&qtilde;">quam</expan> ille qui nunc fit; profectò <expan abbr="neq.">neque</expan> alter conuer&longs;ioni <lb/>reperietur oppo&longs;itus. </s> |
| <s>Inde <expan abbr="igit'">igitur</expan> &longs;ic &longs;truamus argumenta. </s> | <s>Inde <expan abbr="igit'">igitur</expan> &longs;ic &longs;truamus argumenta. </s> |
| <s>Siquis motus futurus e&longs;&longs;wet conuer&longs;ioni con­<lb/>trarius, is aut e&longs;&longs;et motus rectus, aut altera <expan abbr="cõuer&longs;io">conuer&longs;io</expan>, &longs;ed nullus e&longs;&longs;e <expan abbr="põt">pote&longs;t</expan> huiu&longs;modi, <expan abbr="neq.">neque</expan> igitur conuer­<pb pagenum="855"/><arrow.to.target n="marg4938"></arrow.to.target><lb/>&longs;ioni motus qui&longs;quam contrarius e&longs;&longs;e <expan abbr="põt">potest</expan>. </s> <s>Neque <expan abbr=".n.">enim</expan> motus rectus conuer&longs;ioni <expan abbr="cõtrarius">contrarius</expan> e&longs;t: ob <expan abbr="eam&qacute;">eamque</expan>. <lb/></s> <s>cau&longs;&longs;am, <expan abbr="neq.">neque</expan> conuer&longs;io recto: commeant enim. </s> <s>Nam &longs;iquis motus foret conuer&longs;ioni contrarius; is <lb/>&longs;anè rectus e&longs;&longs;et: at rectus non e&longs;t: <expan abbr="neq.">neque</expan> conuer&longs;io igitur. </s> <s>Connexum <expan abbr="fid&etilde;">fidem</expan> &longs;uam a&longs;&longs;equitur à natura <lb/>&longs;patij, &longs;uper quo fit motus: etenim &longs;patia hæc contrarias formas obtinere videntur: & motus igitur, <lb/>qui in his &longs;patiis obeuntur, erunt contrarij. </s> <s>contrarias <expan abbr="aut&etilde;">autem</expan> formas e&longs;&longs;e talium linearum &longs;ic probat Ari­<lb/>&longs;toteles: &longs;iquidem, in circulo duo &longs;unt, quæ &longs;ecum pugnare cen&longs;eantur, concauum & conuexum: non <lb/>po&longs;&longs;unt verò hæc &longs;tare &longs;imul cum recto, cùm hæc vndecunque inflexa &longs;int; linea autem recta nulla ex <lb/>parte: concauum <expan abbr="igi&ttilde;">igitur</expan>, & conuexum lineæ rectæ opponuntur: verùm circulus è concauo & conuexo <lb/>conflatur: maximè igitur opponitur line&ecedil; rectæ. </s> <s>quare etiam motus rectus erit conuer&longs;ioni maximè <lb/>contrarius: hic tamen non e&longs;t: quandò motuum repugnantia &longs;umitur à repugnantia terminorum: <lb/>atqui locus &longs;uperior inferiori, nec alius vllus locus opponitur: a&longs;cen&longs;us igitur de&longs;cen&longs;ui <expan abbr="cõtrarius">contrarius</expan> e&longs;t: <lb/>nec alius qui&longs;quam motus. </s> <s>Quoniam verò in hac ratione con&longs;truenda Ari&longs;t. </s> <s>v&longs;us ea voce <foreign lang="greek">ma/lista</foreign> &longs;u­<lb/>&longs;picionem iniecit, ne fortè loco dialectico occupato rem tanti momenti &longs;uper qua æternitas cæli &longs;true­<lb/>retur, topicè tractarit; occa&longs;ionem præbuit eius interpretibus aliqua aduertendi. </s> <s><expan abbr="neq.">neque</expan> item à nobis exi­<lb/>&longs;timatus e&longs;t dignus, qui <expan abbr="præterea&ttilde;">prætereatur</expan>, in quo <expan abbr="etiã">etiam</expan> Simplicius tanquam à difficultate oppre&longs;&longs;us de acceptis <lb/>h&ecedil;&longs;itarit; vtrùm .&longs;. </s> <s>h&ecedil;c ratio foret à maiori, quemadmodum cen&longs;uit Alexander; an &longs;it demon&longs;tratio ne­<lb/> | <s>Siquis motus futurus e&longs;&longs;et conuer&longs;ioni con­<lb/>trarius, is aut e&longs;&longs;et motus rectus, aut altera <expan abbr="cõuer&longs;io">conuer&longs;io</expan>, &longs;ed nullus e&longs;&longs;e <expan abbr="põt">pote&longs;t</expan> huiu&longs;modi, <expan abbr="neq.">neque</expan> igitur conuer­<pb pagenum="855"/><arrow.to.target n="marg4938"></arrow.to.target><lb/>&longs;ioni motus qui&longs;quam contrarius e&longs;&longs;e <expan abbr="põt">potest</expan>. </s> <s>Neque <expan abbr=".n.">enim</expan> motus rectus conuer&longs;ioni <expan abbr="cõtrarius">contrarius</expan> e&longs;t: ob <expan abbr="eam&qacute;">eamque</expan>. <lb/></s> <s>cau&longs;&longs;am, <expan abbr="neq.">neque</expan> conuer&longs;io recto: commeant enim. </s> <s>Nam &longs;iquis motus foret conuer&longs;ioni contrarius; is <lb/>&longs;anè rectus e&longs;&longs;et: at rectus non e&longs;t: <expan abbr="neq.">neque</expan> conuer&longs;io igitur. </s> <s>Connexum <expan abbr="fid&etilde;">fidem</expan> &longs;uam a&longs;&longs;equitur à natura <lb/>&longs;patij, &longs;uper quo fit motus: etenim &longs;patia hæc contrarias formas obtinere videntur: & motus igitur, <lb/>qui in his &longs;patiis obeuntur, erunt contrarij. </s> <s>contrarias <expan abbr="aut&etilde;">autem</expan> formas e&longs;&longs;e talium linearum &longs;ic probat Ari­<lb/>&longs;toteles: &longs;iquidem, in circulo duo &longs;unt, quæ &longs;ecum pugnare cen&longs;eantur, concauum & conuexum: non <lb/>po&longs;&longs;unt verò hæc &longs;tare &longs;imul cum recto, cùm hæc vndecunque inflexa &longs;int; linea autem recta nulla ex <lb/>parte: concauum <expan abbr="igi&ttilde;">igitur</expan>, & conuexum lineæ rectæ opponuntur: verùm circulus è concauo & conuexo <lb/>conflatur: maximè igitur opponitur line&ecedil; rectæ. </s> <s>quare etiam motus rectus erit conuer&longs;ioni maximè <lb/>contrarius: hic tamen non e&longs;t: quandò motuum repugnantia &longs;umitur à repugnantia terminorum: <lb/>atqui locus &longs;uperior inferiori, nec alius vllus locus opponitur: a&longs;cen&longs;us igitur de&longs;cen&longs;ui <expan abbr="cõtrarius">contrarius</expan> e&longs;t: <lb/>nec alius qui&longs;quam motus. </s> <s>Quoniam verò in hac ratione con&longs;truenda Ari&longs;t. </s> <s>v&longs;us ea voce <foreign lang="greek">ma/lista</foreign> &longs;u­<lb/>&longs;picionem iniecit, ne fortè loco dialectico occupato rem tanti momenti &longs;uper qua æternitas cæli &longs;true­<lb/>retur, topicè tractarit; occa&longs;ionem præbuit eius interpretibus aliqua aduertendi. </s> <s><expan abbr="neq.">neque</expan> item à nobis exi­<lb/>&longs;timatus e&longs;t dignus, qui <expan abbr="præterea&ttilde;">prætereatur</expan>, in quo <expan abbr="etiã">etiam</expan> Simplicius tanquam à difficultate oppre&longs;&longs;us de acceptis <lb/>h&ecedil;&longs;itarit; vtrùm .&longs;. </s> <s>h&ecedil;c ratio foret à maiori, quemadmodum cen&longs;uit Alexander; an &longs;it demon&longs;tratio ne­<lb/> |
| <arrow.to.target n="marg4939"></arrow.to.target><lb/>gans: proptereà quòd Ari&longs;t. </s> <s>non pronunciarit <foreign lang="greek">ma=llon</foreign>: <expan abbr="nanq.">nanque</expan> huic opponitur <foreign lang="greek">to\ h(=tton</foreign>. </s> <s>ei verò, quod <lb/>e&longs;t maximè, nihil opponitur: quanquam & ip&longs;e vt tueretur Alexandrum, adiecit etiam <foreign lang="greek">ma/lista</foreign> accipi, <lb/>vt oppo&longs;itum eius, quod e&longs;t, nullo modo, ex quo <expan abbr="it&etilde;">item</expan> hæc ratio referri po&longs;&longs;et ad genus eorum quæ &longs;unt <lb/>à <expan abbr="cõparatis">comparatis</expan>. </s> <s>Nam lego apud <expan abbr="quo&longs;dã">quo&longs;dam</expan> eam ab&longs;olutam <expan abbr="demon&longs;tration&etilde;">demon&longs;trationem</expan> putari; neque illi officere, &longs;i à <expan abbr="cõ-muni">con­<lb/>muni</expan> loco ducatur: quoniam proprius reddi <expan abbr="põt">potest</expan>, & contractus ad certum &longs;ubiectum efficit fidem quæ <lb/>demon&longs;trationi conueniat, & pariat &longs;cientiam. </s> <s>Sed tamen, vt explicem animi mei &longs;en&longs;um, non puto <lb/>ego, tamet&longs;i <expan abbr="quædã">quædam</expan> loca propria reddi po&longs;&longs;unt, & in propo&longs;itiones conuerti; ita vt tanquam &longs;yllogi&longs;mi <lb/>partes a&longs;&longs;umantur; hunc no&longs;trum in huiu&longs;modi po&longs;&longs;e numerari. </s> <s>Prætereà proprium in demon&longs;tratio­<lb/>ne, non &longs;ic accipitur, quia propo&longs;itio fiat; nec quae &longs;it ex inh&ecedil;rentibus &longs;impliciter, &longs;ed ex iis quæ per &longs;e &longs;unt, <lb/>& vinculum definitionis continent: doceant igitur, quemadmodum ab intimis rei principiis ea propo­<lb/>&longs;itio petatur: nihil <expan abbr=".n.">enim</expan> complectitur quod per &longs;e &longs;it. </s> <s>Idcirco aut ita dicendum; nihil referre, quemad­<lb/>modum <expan abbr="accipia&ttilde;">accipiatur</expan> illud coniunctum. </s> <s>quae in eo nulla fides po&longs;ita &longs;it, <expan abbr="neq.">neque</expan> demon&longs;tratiua, <expan abbr="neq.">neque</expan> dialectica; <lb/>&longs;ed in probatione a&longs;&longs;umpti: quare etiam concludi <expan abbr="rõ">ratio</expan> potui&longs;&longs;et hoc modo. </s> <s>Motuum repugnantia <expan abbr="peti&ttilde;">petitur</expan> <lb/>à terminis oppo&longs;itis, &longs;ed quantum &longs;pectat ad terminos, rectus recto, non <expan abbr="aut&etilde;">autem</expan> conuer&longs;ioni opponitur. <lb/></s> <s>Aut &longs;i progre&longs;&longs;us eius rationis, & vis illius loci per&longs;piciatur: apparebit allatum fui&longs;&longs;e potius ab Ari&longs;t. <lb/></s> <s> | <arrow.to.target n="marg4939"></arrow.to.target><lb/>gans: proptereà quòd Ari&longs;t. </s> <s>non pronunciarit <foreign lang="greek">ma=llon</foreign>: <expan abbr="nanq.">nanque</expan> huic opponitur <foreign lang="greek">to\ h(=tton</foreign>. </s> <s>ei verò, quod <lb/>e&longs;t maximè, nihil opponitur: quanquam & ip&longs;e vt tueretur Alexandrum, adiecit etiam <foreign lang="greek">ma/lista</foreign> accipi, <lb/>vt oppo&longs;itum eius, quod e&longs;t, nullo modo, ex quo <expan abbr="it&etilde;">item</expan> hæc ratio referri po&longs;&longs;et ad genus eorum quæ &longs;unt <lb/>à <expan abbr="cõparatis">comparatis</expan>. </s> <s>Nam lego apud <expan abbr="quo&longs;dã">quo&longs;dam</expan> eam ab&longs;olutam <expan abbr="demon&longs;tration&etilde;">demon&longs;trationem</expan> putari; neque illi officere, &longs;i à <expan abbr="cõ-muni">con­<lb/>muni</expan> loco ducatur: quoniam proprius reddi <expan abbr="põt">potest</expan>, & contractus ad certum &longs;ubiectum efficit fidem quæ <lb/>demon&longs;trationi conueniat, & pariat &longs;cientiam. </s> <s>Sed tamen, vt explicem animi mei &longs;en&longs;um, non puto <lb/>ego, tamet&longs;i <expan abbr="quædã">quædam</expan> loca propria reddi po&longs;&longs;unt, & in propo&longs;itiones conuerti; ita vt tanquam &longs;yllogi&longs;mi <lb/>partes a&longs;&longs;umantur; hunc no&longs;trum in huiu&longs;modi po&longs;&longs;e numerari. </s> <s>Prætereà proprium in demon&longs;tratio­<lb/>ne, non &longs;ic accipitur, quia propo&longs;itio fiat; nec quae &longs;it ex inh&ecedil;rentibus &longs;impliciter, &longs;ed ex iis quæ per &longs;e &longs;unt, <lb/>& vinculum definitionis continent: doceant igitur, quemadmodum ab intimis rei principiis ea propo­<lb/>&longs;itio petatur: nihil <expan abbr=".n.">enim</expan> complectitur quod per &longs;e &longs;it. </s> <s>Idcirco aut ita dicendum; nihil referre, quemad­<lb/>modum <expan abbr="accipia&ttilde;">accipiatur</expan> illud coniunctum. </s> <s>quae in eo nulla fides po&longs;ita &longs;it, <expan abbr="neq.">neque</expan> demon&longs;tratiua, <expan abbr="neq.">neque</expan> dialectica; <lb/>&longs;ed in probatione a&longs;&longs;umpti: quare etiam concludi <expan abbr="rõ">ratio</expan> potui&longs;&longs;et hoc modo. </s> <s>Motuum repugnantia <expan abbr="peti&ttilde;">petitur</expan> <lb/>à terminis oppo&longs;itis, &longs;ed quantum &longs;pectat ad terminos, rectus recto, non <expan abbr="aut&etilde;">autem</expan> conuer&longs;ioni opponitur. <lb/></s> <s>Aut &longs;i progre&longs;&longs;us eius rationis, & vis illius loci per&longs;piciatur: apparebit allatum fui&longs;&longs;e potius ab Ari&longs;t. <lb/></s> <s> |
| <arrow.to.target n="marg4940"></arrow.to.target><lb/>ad <expan abbr="confirmation&etilde;">confirmationem</expan> partis oppo&longs;itæ no&longs;tri problematis. </s> <s>habetur <expan abbr=".n.">enim</expan> fides eius, quòd motus rectus &longs;it con­<lb/>uer&longs;ioni contrarius, qu&ecedil; &longs;anè topiça e&longs;t. </s> <s>po&longs;teà verò fides <expan abbr="ad&longs;criba&ttilde;">ad&longs;cribatur</expan> alterius oppo&longs;iti qu&ecedil; <expan abbr="&longs;cientiã">&longs;cientiam</expan> faciat. <lb/></s> <s>Nec mirum cum exercendi ingenij, ac veritatis inueniendæ gratia &longs;&ecedil;pe &longs;oleat Ari&longs;toteles: ponere qua­<lb/>&longs;i <expan abbr="cõflictum">conflictum</expan> rationum certarum & probabilium. </s> <s>quapropter hæc di&longs;tributio præ&longs;taret <expan abbr="oĩbus">omnibus</expan> mea qui­<lb/>dem <expan abbr="&longs;oĩa">&longs;oina</expan>, &longs;i <expan abbr="ductũ">ductum</expan> huiu &longs;ce <expan abbr="rõnis">rationis</expan> in <expan abbr="argum&etilde;ta">argumenta</expan> duo partiremur; quorum primum <expan abbr="topicũ">topicum</expan> foret eo v&longs;que. <lb/></s> <s>“Qui <expan abbr="aut&etilde;">autem</expan> &longs;uper recta, <expan abbr="atq.">atque</expan> alterum demon&longs;tratiuum in iis quæ &longs;equuntur; qua&longs;i illa coniunctio &longs;it ad­<lb/>uer&longs;atiua; ducitur verò à principiis propriis huius methodi, <expan abbr="n&etilde;pe">nempe</expan> ab oppo&longs;itione terminorum.” Hunc <lb/>rationum ductum agnouit <expan abbr="it&etilde;">item</expan> Auerroës <emph type="sup"/>a<emph.end type="sup"/> qui dixit ex hoc manife&longs;tè &longs;equi, conuer&longs;ionem motui recto <lb/> | <arrow.to.target n="marg4940"></arrow.to.target><lb/>ad <expan abbr="confirmation&etilde;">confirmationem</expan> partis oppo&longs;itæ no&longs;tri problematis. </s> <s>habetur <expan abbr=".n.">enim</expan> fides eius, quòd motus rectus &longs;it con­<lb/>uer&longs;ioni contrarius, qu&ecedil; &longs;anè topiça e&longs;t. </s> <s>po&longs;teà verò fides <expan abbr="ad&longs;criba&ttilde;">ad&longs;cribatur</expan> alterius oppo&longs;iti qu&ecedil; <expan abbr="&longs;cientiã">&longs;cientiam</expan> faciat. <lb/></s> <s>Nec mirum cum exercendi ingenij, ac veritatis inueniendæ gratia &longs;&ecedil;pe &longs;oleat Ari&longs;toteles: ponere qua­<lb/>&longs;i <expan abbr="cõflictum">conflictum</expan> rationum certarum & probabilium. </s> <s>quapropter hæc di&longs;tributio præ&longs;taret <expan abbr="oĩbus">omnibus</expan> mea qui­<lb/>dem <expan abbr="&longs;oĩa">&longs;oina</expan>, &longs;i <expan abbr="ductũ">ductum</expan> huiu &longs;ce <expan abbr="rõnis">rationis</expan> in <expan abbr="argum&etilde;ta">argumenta</expan> duo partiremur; quorum primum <expan abbr="topicũ">topicum</expan> foret eo v&longs;que. <lb/></s> <s>“Qui <expan abbr="aut&etilde;">autem</expan> &longs;uper recta, <expan abbr="atq.">atque</expan> alterum demon&longs;tratiuum in iis quæ &longs;equuntur; qua&longs;i illa coniunctio &longs;it ad­<lb/>uer&longs;atiua; ducitur verò à principiis propriis huius methodi, <expan abbr="n&etilde;pe">nempe</expan> ab oppo&longs;itione terminorum.” Hunc <lb/>rationum ductum agnouit <expan abbr="it&etilde;">item</expan> Auerroës <emph type="sup"/>a<emph.end type="sup"/> qui dixit ex hoc manife&longs;tè &longs;equi, conuer&longs;ionem motui recto <lb/> |
| <arrow.to.target n="marg4941"></arrow.to.target><lb/>non e&longs;&longs;e contrariam: nam &longs;i a&longs;cen&longs;us & de&longs;cen&longs;us propter terminos contrarij &longs;unt, cùm motus cœle&longs;tis <lb/>non &longs;it ad terminos eo&longs;dem; non <expan abbr="põt">potest</expan> igitur vllo modo e&longs;&longs;e recto contrarius. </s> <s>Confirmat etiam propo­<lb/>&longs;itum à natura contrariorum; &longs;iquidem ea inter &longs;e afficiunt & de&longs;truunt. </s> <s>&longs;i ergo cœlum pugnaret cum <lb/>elementis; certè propter eius immen&longs;am <expan abbr="va&longs;titat&etilde;">va&longs;titatem</expan> factum iam e&longs;&longs;et, vt inane foret apud nos <expan abbr="oĩbus">omnibus</expan> ele­<lb/>mentis <expan abbr="iã">iam</expan> in &longs;ub&longs;tantiam cœli conuer&longs;is: cùm tamen tantum ab&longs;it, vt cœlum de&longs;truat, vt potius con&longs;er­<lb/>uet: quinimmo ip&longs;ius motu ce&longs;&longs;ante nece&longs;&longs;ariò <expan abbr="quoq.">quoque</expan> <expan abbr="oĩum">omnium</expan> generatio finiretur. </s> <s><expan abbr="Neq.">Neque</expan> ob&longs;tat, &longs;i oppo­<lb/>nas Auerroi, quia &longs;i motuum repugnantia à locorum, <expan abbr="terminorum&qacute;">terminorumque</expan>. </s> <s><expan abbr="repugnãtia">repugnantia</expan> &longs;umatur, eadem via <lb/>concludere licebit igni c&ecedil;lum fore contrarium dicam enim. </s> <s>Motus contrarij &longs;unt ad loca contraria; <lb/>huiu&longs;modi verò &longs;unt motus ignis & cœli: quapropter opponuntur. </s> <s>Si ergo vera &longs;unt ea quæ te&longs;tatur <lb/>Ari&longs;t. </s> <s>ex repugnantia motuum fieri <expan abbr="coniecturã">coniecturam</expan> de repugnantia &longs;ub&longs;tantiæ; planum e&longs;t, quòd ignis & c&ecedil;­<lb/>lum contraria e&longs;&longs;e <expan abbr="cõcludentur">concludentur</expan>: &longs;iquidem à centro, & ad <expan abbr="centrũ">centrum</expan> loca &longs;unt, <expan abbr="motu&longs;&qacute;">motu&longs;que</expan>. </s> <s>contrarij, &longs;ed ignis <lb/>moueatur à centro, ad centrum verò cœlum. </s> <s>Tum etiam quia nullus ortus &longs;ine interitu: &longs;i ergo cœ­<lb/>lum generat; idem <expan abbr="quoq.">quoque</expan> corrumpit. </s> <s>Nam quantum certè ad primum pertinet, et&longs;i audiuimus <expan abbr="quo&longs;-dã">quo&longs;­<lb/>dam</expan> fateri motus &longs;pecificari à terminis, <expan abbr="quomodocunq.">quomodocunque</expan> parentur, & ab illis motum præfiniri &longs;emper, & <lb/>denominari, & <expan abbr="quomodocunq.">quomodocunque</expan> oppo&longs;itos a&longs;&longs;equi contingat ab illis varietatem &longs;umi, &longs;ed in motu recto <lb/>duntaxat; <expan abbr="neuti&qtilde;">neutiquam</expan> mihi arridet hæc <expan abbr="&longs;nĩa">&longs;ententia</expan>: primùm, quae vniuersè pronunciatum e&longs;t ab Ari&longs;t. </s> <s>motus à ter­<lb/>mino &longs;pecificari. </s> <s>Deinde ob&longs;eruamus eius progre&longs;&longs;um in toto volumine de cœlo, quia cùm Ari&longs;t. </s> <s>in­<lb/>uenire vellet numerum corporum &longs;implicium ex &longs;uis motib. eos item per terminos &longs;eparauit, & dixit <lb/>à medio, ad medium, & <expan abbr="circũ">circum</expan> medium: quare <expan abbr="&etilde;t">etiam</expan> &longs;ub hac propo&longs;itione motus cœle&longs;tis, & ip&longs;a demum <lb/>conuer&longs;io comprehenditur. </s> <s>Ac nos anteà docuimus, cùm à centro terræ mouetur aqua ad aëris &longs;uper <lb/>ficiem, illum e&longs;&longs;e a&longs;cen&longs;um, vbi de &longs;ph&ecedil;ra ignis eodem agatur, e&longs;&longs;e de&longs;cen&longs;um. </s> <s>Proptereà manentes in <lb/>eodem propo&longs;ito, nimirùm quòd tria motum internè con&longs;tituant, &longs;ubiectum .&longs;. </s> <s>& termini <expan abbr="vtriq.">vtrique</expan>; nega­<lb/>mus <expan abbr="c&etilde;trum">centrum</expan> e&longs;&longs;e <expan abbr="eod&etilde;">eodem</expan> modo terminum grauium qu&ecedil; igni <expan abbr="opponun&ttilde;">opponuntur</expan>, & c&ecedil;li. </s> <s>e&longs;t <expan abbr=".n.">enim</expan> grauium, vt àd què; <lb/>cœli verò, vt circum quem; hoc e&longs;t, &longs;imul à quo, & ad quem, veluti po&longs;thac explicabitur. </s> <s>Addo etiam | <arrow.to.target n="marg4941"></arrow.to.target><lb/>non e&longs;&longs;e contrariam: nam &longs;i a&longs;cen&longs;us & de&longs;cen&longs;us propter terminos contrarij &longs;unt, cùm motus cœle&longs;tis <lb/>non &longs;it ad terminos eo&longs;dem; non <expan abbr="põt">potest</expan> igitur vllo modo e&longs;&longs;e recto contrarius. </s> <s>Confirmat etiam propo­<lb/>&longs;itum à natura contrariorum; &longs;iquidem ea inter &longs;e afficiunt & de&longs;truunt. </s> <s>&longs;i ergo cœlum pugnaret cum <lb/>elementis; certè propter eius immen&longs;am <expan abbr="va&longs;titat&etilde;">va&longs;titatem</expan> factum iam e&longs;&longs;et, vt inane foret apud nos <expan abbr="oĩbus">omnibus</expan> ele­<lb/>mentis <expan abbr="iã">iam</expan> in &longs;ub&longs;tantiam cœli conuer&longs;is: cùm tamen tantum ab&longs;it, vt cœlum de&longs;truat, vt potius con&longs;er­<lb/>uet: quinimmo ip&longs;ius motu ce&longs;&longs;ante nece&longs;&longs;ariò <expan abbr="quoq.">quoque</expan> <expan abbr="oĩum">omnium</expan> generatio finiretur. </s> <s><expan abbr="Neq.">Neque</expan> ob&longs;tat, &longs;i oppo­<lb/>nas Auerroi, quia &longs;i motuum repugnantia à locorum, <expan abbr="terminorum&qacute;">terminorumque</expan>. </s> <s><expan abbr="repugnãtia">repugnantia</expan> &longs;umatur, eadem via <lb/>concludere licebit igni c&ecedil;lum fore contrarium dicam enim. </s> <s>Motus contrarij &longs;unt ad loca contraria; <lb/>huiu&longs;modi verò &longs;unt motus ignis & cœli: quapropter opponuntur. </s> <s>Si ergo vera &longs;unt ea quæ te&longs;tatur <lb/>Ari&longs;t. </s> <s>ex repugnantia motuum fieri <expan abbr="coniecturã">coniecturam</expan> de repugnantia &longs;ub&longs;tantiæ; planum e&longs;t, quòd ignis & c&ecedil;­<lb/>lum contraria e&longs;&longs;e <expan abbr="cõcludentur">concludentur</expan>: &longs;iquidem à centro, & ad <expan abbr="centrũ">centrum</expan> loca &longs;unt, <expan abbr="motu&longs;&qacute;">motu&longs;que</expan>. </s> <s>contrarij, &longs;ed ignis <lb/>moueatur à centro, ad centrum verò cœlum. </s> <s>Tum etiam quia nullus ortus &longs;ine interitu: &longs;i ergo cœ­<lb/>lum generat; idem <expan abbr="quoq.">quoque</expan> corrumpit. </s> <s>Nam quantum certè ad primum pertinet, et&longs;i audiuimus <expan abbr="quo&longs;-dã">quo&longs;­<lb/>dam</expan> fateri motus &longs;pecificari à terminis, <expan abbr="quomodocunq.">quomodocunque</expan> parentur, & ab illis motum præfiniri &longs;emper, & <lb/>denominari, & <expan abbr="quomodocunq.">quomodocunque</expan> oppo&longs;itos a&longs;&longs;equi contingat ab illis varietatem &longs;umi, &longs;ed in motu recto <lb/>duntaxat; <expan abbr="neuti&qtilde;">neutiquam</expan> mihi arridet hæc <expan abbr="&longs;nĩa">&longs;ententia</expan>: primùm, quae vniuersè pronunciatum e&longs;t ab Ari&longs;t. </s> <s>motus à ter­<lb/>mino &longs;pecificari. </s> <s>Deinde ob&longs;eruamus eius progre&longs;&longs;um in toto volumine de cœlo, quia cùm Ari&longs;t. </s> <s>in­<lb/>uenire vellet numerum corporum &longs;implicium ex &longs;uis motib. eos item per terminos &longs;eparauit, & dixit <lb/>à medio, ad medium, & <expan abbr="circũ">circum</expan> medium: quare <expan abbr="&etilde;t">etiam</expan> &longs;ub hac propo&longs;itione motus cœle&longs;tis, & ip&longs;a demum <lb/>conuer&longs;io comprehenditur. </s> <s>Ac nos anteà docuimus, cùm à centro terræ mouetur aqua ad aëris &longs;uper <lb/>ficiem, illum e&longs;&longs;e a&longs;cen&longs;um, vbi de &longs;ph&ecedil;ra ignis eodem agatur, e&longs;&longs;e de&longs;cen&longs;um. </s> <s>Proptereà manentes in <lb/>eodem propo&longs;ito, nimirùm quòd tria motum internè con&longs;tituant, &longs;ubiectum .&longs;. </s> <s>& termini <expan abbr="vtriq.">vtrique</expan>; nega­<lb/>mus <expan abbr="c&etilde;trum">centrum</expan> e&longs;&longs;e <expan abbr="eod&etilde;">eodem</expan> modo terminum grauium qu&ecedil; igni <expan abbr="opponun&ttilde;">opponuntur</expan>, & c&ecedil;li. </s> <s>e&longs;t <expan abbr=".n.">enim</expan> grauium, vt àd què; <lb/>cœli verò, vt circum quem; hoc e&longs;t, &longs;imul à quo, & ad quem, veluti po&longs;thac explicabitur. </s> <s>Addo etiam |
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| <s>FINIS LIBRI DECIMI ET VLTIMI.</s></p> | <s>FINIS LIBRI DECIMI ET VLTIMI.</s></p> |
| <p type="main"> | <p type="main"> |
| <s></s></p> | <s></s></p> |
| <pb/> | <pb/><pb/> |
| <p type="head"> | <p type="head"> |
| <s>INDEX RERVM <lb/>MEMORABILIVM.<lb/> | <s>INDEX RERVM <lb/>MEMORABILIVM.<lb/> |
| <arrow.to.target n="fig23"></arrow.to.target></s></p><!--tmark here --> | <arrow.to.target n="fig23"></arrow.to.target></s></p><!--tmark here --> |
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